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Mathematicians

Often, to completely understand the importance of a mathematical theory, it's essential to know about the person who developed it. This category is where all questions about historically significant mathematicians should be asked.

6,570 Questions

Why is Sir Isaac Newton's discovery of Gravity important?

Gravity is the major force in the Universe controlling matter. Gravity controls the structure of the Universe.

What is a quadrant?

Quadrants refers to a a division of the Cartesian, usually, rectangular Cartesian, coordinate system. (They are called Cartesian because the idea was developed by the mathematician and philosopher Rene Descartes who was also known as Cartesius.)

The X and Y axes divide the plane into 4 parts and call each part a quadrant. There are quadrants I,II,III,IV.

To figure out what quadrant the point on your graph is use this model. (9,8) - the 9 is the x-axis or how many across horizontal and the 8 is the y-axis or how many up. To pick the point go across 9 and up 8.

The signs of the two numbers in an ordered pair tells you which quadrant the pair is in.

I=(+,+) #'s

II= (-,+) #'s

III= (-,-) #'s

IV= (+,-) #'s

(An easy way to remember this is that the quadrants are numbered counter-clockwise beginning with the upper right.)

So in other words (8,-5) would be in Quad. IV and (9,0) would be in Quad. I

Quadrant can mean many things, this is the algebraic meaning. It can also be a quarter of a circle or an instrument used in navigation. Basically it means quarter, or one fourth.

How do you calculate area in square meter of a duct elbow 45 degree?

To calculate the square meters of a duct you must add the total length of the straight duct work plus the loss of length from the elbows. A standard elbows measurement is 15 feet for each elbow with a 4 inch diameter or 20 feet for an elbow with a 6 inch diameter.

What were euclid's contributions to math?

Euclid of Alexandria was also known as the Father of Geometry. He was a Greek mathematician and philosopher living in the 4th century BC who taught at the university in Alexandria, Egypt. He became known as the Father of Geometry many years after publishing a thirteen volume work called Euclid's Elements in which he compiled and explained all the known mathematics of his time. Euclid's Elements is the world's most famous mathematical work and is also the oldest continuously used mathematical textbook. It is the foundation of the geometry still being taught in schools almost two and one-half millennium after Euclid's death.

What is the formula for Archimedes' Principle?

Density=mass x volume

Buoyancy= (density of object - density of fluid) x (volume of displaced fluid)

Archimedes is known for what in mathematics?

1. Method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series. 2. Approximation of pi. 3. Defined the spiral bearing his name 4. Volumes of surfaces of revolution 5. System for expressing very large numbers.

How Archimedes discovered the density?

Archimedes discovered density by sitting in a bath full of water, and realized the water that spilled out was how much space he took up in the bath. How many liters that spilled out was how many liters Archimedes took up in the world. As legend has it, when he found this out he ran into the street - naked - shouting "Eureka!" which means, in Greek, "I've found it!" He was shouting "Eureka" because the king asked him to find out if his crown was all gold or did the goldsmith take some gold and used silver instead.

What did Archimedes mean by a lever could move the world?

he meant that if we can discover that one immovable point (the metaphorical place where he can stand and not move), then from that proven truth we can learn anything else- including the reason for human life.

Describe Archimedes' Principle and how it is used to determine whether or not an object will float in a fluid?

The Principle states that the mass of a liquid displaced by a floating body is equal to the mass of that body. So if you fill a tumbler up with water to the brim, put an object into it, weigh the water that has been pushed out of the tumbler, and compare that with the weight of the object, you'll know whether it floats ot not. If you're doing this with a large object like a ship you'd need to calculate by measurement how much water is going to be displaced by the weight of the ship (also calculated). Hopefully, it's be the same, or your ship will sink.

What is the Nash Equilibrium in the prisoner's dilemma in classical game theory?

The Nash Equilibrium is the outcome if every player in a game plays according to self interest, but by doing so, forgo a greater benefit that would have resulted for both players if each had not played according to the apparent self-interested choice. The classic example is the prisoner's dilemma: a policeman takes two criminals who worked together on a crime and places them into separate interrogation rooms. He has both criminals on a lesser crime, but he wants them to confess to the greater crime, so he offers each 1. freedom if they confess and their partner does not, or 2. a lesser sentence if both confess. So, making up numbers on the spot, let's say that if both confess, both get 3 years in jail if one confesses, the other gets life in jail, and if neither confess, they both get one year in jail. Now, initially, it would seem obvious that neither would confess. But, if you were one of the criminals, you most certainly would confess, and here's why: If the other criminal (player) (who you have not talked to) confesses, you would get 3 years if you confessed and life if you didn't, so confessing makes sense. And if the other guy didn't confess, you would be free if you confessed, and get one year if you didn't. So either way, confessing makes sense, as it would for the other guy. Therefore, the Nash equilibrium is established at 3 years apiece.

Did Blaise Pascal Work with any other mathematicians?

By the time Blaise Pascal was about 16 years old he had been helping Pierre De Fermat on probability was two major projects. which was proved by google

Why was Alan Turing arrested?

Homosexuality was illegal back then and they found out about his relationship with a man from Manchester. He then lost his job due to the vetting process at GCHQ not allowing gays and also his holidays abroad and foreign contacts made him a security threat

How do you use math in daily life?

It is used to tell time. Pay bills. Exercise. Cook.

We are constantly using math.